The analyticity region of the hard sphere gas. Improved bounds
classification
🧮 math-ph
math.MP
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analyticityestimateimprovedboundsclassicalcomputeddetermineddimensions
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We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in $d$ dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For $d=2$, for instance, our estimate is about 40% larger than the classical one.
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